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Finding the Third Proportional to 25,997 and 41,329

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Solution

The third proportional to 25,997 and 41,329 is: 65,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997 : 41,329 = 41,329 : x
  2. Step 2: Convert to fraction form
    25,997/41,329 = 41,329/x
  3. Step 3: Cross multiply
    25,997x = 41,329 × 41,329
  4. Step 4: Simplify right side
    25,997x = 1,708,086,241
  5. Step 5: Solve for x
    x = 1,708,086,241/25,997
  6. Step 6: Final answer
    x = 65,703.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.